Clarence E. Ayres and the Legacy of German Idealism

Abstract . Based on the Clarence E. Ayres (1891-1972) papers at the University of Texas, this study traces the continuity among thinkers such as Kant, Hegel, Veblen, Dewey, and Ayres; the latter was a leading institutional economist following Veblen's death. Publicly acknowledging his intellectual debt to Veblen and Dewey, Ayres drew from these men some idealistic assumptions as well as the historicism that is implicit in his technological determinism or instrumental theory of knowledge. Thorstein Veblen and John Dewey owed a great deal to the philosophical tradition of idealism, regardless of the devotion to naturalism in their systems. The origins of Ayres's technological theory of value are found in Veblen and Dewey writings and back of them the legacy of German idealism. The vital link was a mutual acceptance that freedom was expressed in a cultural and historical form, realized in human activity. It was a process.     

Central-city income redistribution and the flight to the suburbs: A stylized model

This paper characterizes the optimal tax policy of a central-city government whose goal is to redistribute income from the rich to the poor to maximize the intertemporal utility of the latter group. Since redistribution erodes the tax base by stimulating suburban flight on the part of the rich, choosing the optimal path for the income tax rate is a problem in optimal control. The nature of the solution to the problem is shown to depend crucially on the level of the discount rate and the time path of exogenous income for the poor.     

Queues with batch poisson arrivals and hyper-exponential service time distribution

Summary We consider in this paper the transient behaviour of the queuing system in which (i) the input, following a Poisson distribution, is in batches of variable numbers; (ii) queue discipline is ‘first come first served’, it being assumed that the batches are pre-ordered for service purposes; and (iii) service time distribution is hyper-exponential withn branches. The Laplace transform of the system size distribution is determined by applying the method of generating functions, introduced in queuing theory byBailey [1]. However, assuming steady state conditions to obtain, the problem is completely solved and it is shown that by suitably defining the traffic intensity factor,ϱ, the value,p ₀, of the probability of no delay, remains the same in this case of batch arrivals also as in the case of single arrivals. The Laplace transform of the waiting time distribution is also calculated in steady state case from which the mean waiting time may be calculated. Some of the known results are derived as particular cases.     

Analysis of cost and coverage of government financed primary health care services in Tanzania.

A method for cost analysis is presented and applied to Primary Health Care Services in Tanzania. Primary care utilization figures are combined with budget and cost data to arrive at estimates of per capita and per visit cost. Data for analysis of geographical coverage, health care needs, and utilization are most readily available for the MCH sector of Primary Health Care Services, the most important health care sector in LDCs, which is used in this paper as a proxy for estimating health care needs and utilization. The importance of separating appropriately identified investment costs from recurrent costs is illustrated. Speedy implementation of health care for all requires assistance for investment costs, the recurrent costs of appropriately designed Primary Health Care Services being within the reach of developing nations themselves.     

Myopic utility functions on sequential economies

In Brown and Lewis (1981) continuity in the Mackey topology of (l^∞, l¹) is related to myopic (or impatient) economic behavior. They also show that finer (locally convex) topologies admit continuous non-myopic utility functions. In that work the space of bounded sequences, l^∞, is interpreted as all time sequences of bounded consumption plans. In Brown (1981) the analysis is extended to study the theory of interest on related sequence spaces.This note applies our simple technique for ‘computing’ Mackey continuity of real-valued functions defined on l^∞. Our first result is motivated by Bewley's (1972, app. II) theorem, but extends it in several important ways (on sequential economies). First, Beweley's examples (specialized to the sequential setting) are all ‘temporally separable’,that is, consumption in one time period does not affect indifference sets in another. We give new explicit examples of Cobb-Douglass-like utility functions and show that the ‘obvious’ infinite-dimensional Cobb-Douglass functions are non-myopic. Known equilibrium theory [from Bewley (1972), but pre-dating him in the sequential case] applies to these new examples. Second, we remove the assumptions of concavity and monotony from the proof of continuity.Our second result shows that some of the ‘stationary’ utility functions studied by Koopmans, Diamond and Williamson (1964) are also myopic in the sense of Brown and Lewis. In general their work is based on the finer uniform topology.Finally, we show how to transform our technique so that it applies to Brown's more general sequential economies. A change of variables transfers our examples to these spaces.     

Contributions to nonparametric generalized failure rate function estimation

For a specified distribution functionG with densityg, and unknown distribution functionF with densityf, the generalized failure rate function (x)=f(x)/gG ^–1 F(x) may be estimated by replacingf andF byf _n and , wheref _n is an empirical density function based on a sample of sizen from the distribution functionF, and . Under regularity conditions we show and, under additional restrictions whereC is a subset ofR and _n. Moreover, asymptotic normality is derived and the Berry-Esséen type bound is shown to be related to a theorem which concerns the sum of i.i.d. random variables. The order boundO(n^–1/2+c _n ^1/2 ) is established under mild conditions, wherec _n is a sequence of positive constants related tof _n and tending to 0 asn.Research was supported in part by the Army, Navy and Air Force under Office of Naval Research contract No. N00014-76-C-0608. AMS 1970 subject classifications. Primary 62G05. Secondary 60F15.     

Projecting the future size and health status of the U.S. elderly population

"A projection model based on a multivariate continuous state, stochastic process is presented. The model allows multiple time-varying covariates to be used so parameters can be estimated from time series information on health changes and mortality, and their interaction. Health changes are simulated by altering parameters controlling the age trajectory and diffusion of risk factor means, variances, and covariances....By increasing the information used in projections it may be possible to better (a) anticipate the state of health at extreme ages, (b) forecast changes in health at specific ages over time, (c) stimulate the effects of specific interventions, and (d) determine the sensitivity of outcomes to a range of interventions."     

Canada-United State Free Trade

A bstract The Canada US Free Trade AGreement (FTA) which came into force January 1. 1989 caused heated debate within Canada about the impact it would have on social programs , other directly or indirectly It was argued that Canada would have to give up some social programs because they would be deemed to be substdues to the production of goods or services Alternatively, it was feared that firms would argue that the programs would need to be cut in order to ensure that they could compete with US firms in firms in terms of taxes It is shown that public unease about the fate of social programs was based both on a misunderstanding of FTA provisions, and on 'misperception'of the mag nitude of social program expenditures Social Programs Such as unemployment insurance , even when they subsidize particular groups of people (eg fisher men) are not normally deemed to be unfair competition which would be countervailable In addition, firsm do not expertence any greter benefit costs in Canada than in the US, albeit there is a different public/private split and thus there is no justification for firms to argue for cutting programs in order tobe competitive, other things being equal